Could someone give the proper chemical names of the attached two compounds.
Lots of thanks in advance.

Based on the picture, I'm thinking that these are part of a biomolecular pathway involving gamma secretase, right? On a quick inspection (it's been a while since I did any biochem), it looks like your second compound might be the result of hydrolysis occurring in the first compound between the right-most nitrogen in the picture and the carbon to the right of it.

You may want to look at various products, substrates, etc. of gamma secretase reactions; it is likely that your answer lies there.

For the second structure, chemspider.com loads the correct structure with the input name of 2-hydroxy-1-napthalenecarboxaldehyde hydrazone but it is also known as 1-hydrazonomethyl-2-naphthol. Your picture doesn't indicate which isomer, E or Z, it should be but if you were to include that, the name would also be 1-[(EorZ)-hydrazonomethyl]-2-naphthol.